A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation |
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| Authors: | ZHANG Chao-Ying TAN Hui-Li LIU Mu-Ren KONG Ling-Jiang |
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| Institution: | College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China College of Physics and Information Technology, Guangxi Normal University, Guilin 541004, China |
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| Abstract: | A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave solutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wave solution, which has exponential decay. The numerical results agree with the analytical solutions quite well. |
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| Keywords: | KdV-Burgers equation lattice Boltzmann model traveling-wave solution solitary-wave solution sock-wave solution |
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